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Finding the Fourth Proportional to 3,839.72, 5,298.66 and 2,267.88

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Solution

The fourth proportional to 3,839.72, 5,298.66 and 2,267.88 is: 3,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.72 : 5,298.66 = 2,267.88 : x
  2. Step 2: Convert to fraction form
    3,839.72/5,298.66 = 2,267.88/x
  3. Step 3: Cross multiply
    3,839.72x = 5,298.66 × 2,267.88
  4. Step 4: Simplify right side
    3,839.72x = 12,016,725.04
  5. Step 5: Solve for x
    x = 12,016,725.04/3,839.72
  6. Step 6: Final answer
    x = 3,129.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.